Answer:
The zeros are {2, 3}
Step-by-step explanation:
Please use " ^ " to indicate exponentiation:
F(x) = x^3 - 5x^2 - 6x
Factoring out x, we get:
F(x) = x(x^2 - 5x - 6)
Factoing the quadratic, we get:
F(x) = x(x - 3)(x - 2) = 0
The zeros are {2, 3}
Answer:
The 100th term of the sequence is 503.
Step-by-step explanation:
Given : Sequence 8, 13, 18,23, 28,...
To find : The 100th term in the sequence ?
Solution :
Sequence 8, 13, 18,23, 28,... is the arithmetic sequence
Where, First term is a=8
The common difference is d=13-8=5
The nth term of the sequence is given by ![a_n=a+(n-1)d](https://tex.z-dn.net/?f=a_n%3Da%2B%28n-1%29d)
The 100th term is given by,
![a_{100}=8+(100-1)5](https://tex.z-dn.net/?f=a_%7B100%7D%3D8%2B%28100-1%295)
![a_{100}=8+(99)5](https://tex.z-dn.net/?f=a_%7B100%7D%3D8%2B%2899%295)
![a_{100}=8+495](https://tex.z-dn.net/?f=a_%7B100%7D%3D8%2B495)
![a_{100}=503](https://tex.z-dn.net/?f=a_%7B100%7D%3D503)
The 100th term of the sequence is 503.
B. the x and y values were not identified correctly
Dilation involves changing the size of a figure
The endpoints of the image are (0,3) and (8,3)
<h3>How to determine the coordinates of the image</h3>
The coordinates of the pre-image are give as:
(2,2) and (6,2)
The scale factor is given as:
k = 2
The center of dilation is given as:
(a,b) = (4,1)
The coordinates of the image are then calculated as:
(x,y) = (k(x -a) + a, k(y -b) + b)
For (2,2), we have:
![(x,y) \to (2(2 -4) + 4, 2(2 - 1) + 1)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%5Cto%20%20%282%282%20-4%29%20%2B%204%2C%202%282%20-%201%29%20%2B%201%29)
![(x,y) \to (0, 3)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%5Cto%20%20%280%2C%203%29)
For (6,2), we have:
![(x,y) \to (2(6 -4) + 4, 2(2 - 1) + 1)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%5Cto%20%20%282%286%20-4%29%20%2B%204%2C%202%282%20-%201%29%20%2B%201%29)
![(x,y) \to (8, 3)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%5Cto%20%20%288%2C%203%29)
Hence, the endpoints of the image are (0,3) and (8,3)
Read more about dilation at:
brainly.com/question/3457976
Answer:
I believe that the answer is A
Step-by-step explanation: